Cauchy-Leray forms and vector bundles
Bo Berndtsson (1991)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Restrictions of smooth functions to a closed subset”
Cauchy-Leray forms and vector bundles
Weak solutions to the complex Hessian equation
Zbigniew Blocki (2005)
Annales de l’institut Fourier
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We investigate the class of functions associated with the complex Hessian equation .
Non-trivial characteristic invariants of homogeneous foliated bundles
Franz W. Kamber, Philippe Tondeur (1975)
Annales scientifiques de l'École Normale Supérieure
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Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for
Annette Werner (2001)
Annales de l’institut Fourier
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Inspired by Manin’s approach towards a geometric interpretation of Arakelov theory at infinity, we interpret in this paper non-Archimedean local intersection numbers of linear cycles in with the combinatorial geometry of the Bruhat-Tits building associated to .
The geometry of Calogero-Moser systems
Jacques Hurtubise, Thomas Nevins (2005)
Annales de l’institut Fourier
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We give a geometric construction of the phase space of the elliptic Calogero-Moser system for arbitrary root systems, as a space of Weyl invariant pairs (bundles, Higgs fields) on the -th power of the elliptic curve, where is the rank of the root system. The Poisson structure and the Hamiltonians of the integrable system are given natural constructions. We also exhibit a curious duality between the spectral varieties for the system associated to a root system, and the Lagrangian varieties...